We know that

Angle subtended by a chord on mayor area is half of that subtended on center

Hence 

∠ADC= 1/2∠AOC

∠ADC= 1/2 ×130=65^∘

ADCB is cyclic quadrilateral ⇒
Sum of opposite Angles is 180º

∠ABC+∠ADC=180º

∠ABC+65=180º

∠ABC= 115^º